"Pipe" has rather loose tolerances compared to "round structural metal members" of the same size and thickness because "pipe" is not subject to catastrophic buckling under end loads and bending loads, but instead is "straightened out" and "rounded out" under its usual internal pressure loads. On the other hand, very very few structural members are subject to 1200 or 1000 degree heat either.
tolerances will work against you all of the wrong ways:
You need to do the math, but you must:
-use the maximum allowed wall thickness when figuring the weight per unit length. Gives you highest weight.
-use the minimum allowed wall thickness when figuring the buckling stress at the most critical position (the point of buckling starting) which gives you the minimum expected strength to resist the buckling
-use the minimum allowable metal strength
But try both the minimum and the maximum allowed diameter at the point of buckling: I'm not sure which is more likely to fail.
Also, assume a point load at the hook - as if all the weight were at the bottom of the pipe at single point. If you ALWAYS use a sling or a support to spread the load out below the hook, then you could assume a linear load the length of the lifting clamp.
I say buckling (not long radius bending) because your failure will happen when the pipe kinks, not when it sags. Or when the pipe sags so much you cannot lift the middle high enough to pick both ends up off the floor. (For example, in a 20 foot high building with a 16 foot crane height, you cannot lift a 120 foot long string of pipe high enough to get it out the door.)